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Simplifying 4x2 + 16x + 16 = 49 Reorder the terms: 16 + 16x + 4x2 = 49 Solving 16 + 16x + 4x2 = 49 Solving for variable 'x'. Reorder the terms: 16 + -49 + 16x + 4x2 = 49 + -49 Combine like terms: 16 + -49 = -33 -33 + 16x + 4x2 = 49 + -49 Combine like terms: 49 + -49 = 0 -33 + 16x + 4x2 = 0 Factor a trinomial. (-11 + -2x)(3 + -2x) = 0Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-5.5, 1.5}
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